Question

find 3 consecutive even natural number such that the sum of their squares is 200​

Answer 1

Answer:

Let the required even numbers be x, x + 2, x + 4

By data x2 + (x + 2)2 + (x + 4)2 = 200

⇒ x2 + x2 + 4x + 4 + x2 + 8x + 16 – 200 = 0

3x2 + 12x – 180 = 0

⇒ x2 + 4x – 60 = 0  ⇒ (x + 10)(x – 6) =0

we require +ve the integers ∴ x = 6

⇒ 6, 8, 10 be the numbers.

Step-by-step explanation:

hope it helps u .............

mark me as brainlist